Australia's David Warner has accused New Zealand fans of going "too far" in their abuse of his team-mates during February's two-Test series.
Vice-captain Warner, who was punished for sledging in a game against India in 2015, said some of the abuse was "vulgar" and "pretty derogatory".
"When they're talking about families, it takes it a bit too far," he added.
"You get your odd banter here or there, but we don't expect to wake up and be hounded for six or seven hours."
While the series between the local rivals was largely played in a good spirit, Australia captain Steve Smith and pace bowler Josh Hazlewood were fined for dissent after angry exchanges with umpire Ranmore Martinesz on day four of the second Test.
Opening batsman Warner defended the forthright approach to the game from his side, who went top of the International Cricket Council Test rankings with their series win.
The 29-year-old, who was suspended after punching England's Joe Root in 2013, said: "We have a passionate brand. If you look back at the history of Australian cricket, we have an aggressive style.
"We've got keep playing our brand of cricket and not stepping over that line."
Meanwhile, Australia seamer Peter Siddle is facing a long lay-off after scans revealed stress fractures in his back.
Siddle, 31, took three wickets in the first Test in Wellington but was ruled out of the second in Christchurch after he suffered back spasms.
The Victorian has been dogged by injuries in recent years and will also have exploratory ankle surgery.
He was set to play for Nottinghamshire in County Championship and 50-over cricket this year but has had to cancel that arrangement.